Classical gravitational scattering amplitude at O(G²S₁∞ S₂∞)
- Creators
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Aoude, Rafael
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Haddad, Kays
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Helset, Andreas
Abstract
We calculate the scattering amplitude of two rotating objects with the linear-in-curvature spin-induced multipoles of Kerr black holes at O(G²) and all orders in the spins of both objects. This is done including the complete set of contact terms potentially relevant to Kerr-black-hole scattering at O(G²). As such, Kerr black holes should be described by this scattering amplitude for a specific choice of values for the contact-term coefficients. The inclusion of all potential contact terms means this amplitude allows for a comprehensive search for structures emerging for certain values of the coefficients, and hence special properties that might be exhibited by Kerr-black-hole scattering. Our result can also act as a template for comparison for future computations of classical gravitational high-spin scattering.
Copyright and License
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Funded by SCOAP3.
Acknowledgement
We thank Francesco Alessio, Fabian Bautista, Clifford Cheung, Julio Parra-Martinez, and Justin Vines for helpful discussions. We are also grateful to Fabian Bautista for sharing a preliminary version of Ref. [48]. R. A. is supported by the F. R. S.-FNRS project No. 40005600 and the FSR Program of UCLouvain. K. H. is supported by the Knut and Alice Wallenberg Foundation under grants KAW 2018.0116 (From Scattering Amplitudes to Gravitational Waves) and KAW 2018.0162. K. H. is grateful to Nordita for their ongoing hospitality. A. H. is supported by the DOE under award No. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics.
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Additional details
- ISSN
- 2470-0029
- 40005600
- Fund for Scientific Research
- Université Catholique de Louvain
- KAW 2018.0116
- Knut and Alice Wallenberg Foundation
- KAW 2018.0162
- Knut and Alice Wallenberg Foundation
- DE-SC0011632
- United States Department of Energy
- Walter Burke Institute for Theoretical Physics
- Caltech groups
- Walter Burke Institute for Theoretical Physics